OPERATOR THEORY II

Sz.-Nagy � Foias theory: Dilation of contractions on a Hilbert space, minimal
isometric dilation, unitary dilation. Von Neumann�s inequality. Ando�s theorem
simultaneous dilation of a pair of commuting contractions. Parrott�s example of a triple of contractions which cannot be dilated simultaneously. Creation operators on the full Fock space and the symmetric Fock space.

Operators spaces. Completely positive and completely bounded maps. Endomorphisms. Towards dilation of completely positive maps. Unbounded operators: Basic theory of unbounded self-adjoint operators.  

Books


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Last updated: 31 May 2023